5*p^2=26p-5

Solution for 5*p^2=26p-5 equation:

Simplifying
5p2 = 26p + -5

Reorder the terms:
5p2 = -5 + 26p

Solving
5p2 = -5 + 26p

Solving for variable 'p'.

Reorder the terms:
5 + -26p + 5p2 = -5 + 26p + 5 + -26p

Reorder the terms:
5 + -26p + 5p2 = -5 + 5 + 26p + -26p

Combine like terms: -5 + 5 = 0
5 + -26p + 5p2 = 0 + 26p + -26p
5 + -26p + 5p2 = 26p + -26p

Combine like terms: 26p + -26p = 0
5 + -26p + 5p2 = 0

Factor a trinomial.
(1 + -5p)(5 + -1p) = 0

Subproblem 1
Set the factor '(1 + -5p)' equal to zero and attempt to solve:

Simplifying
1 + -5p = 0

Solving
1 + -5p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -5p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5p = 0 + -1
-5p = 0 + -1

Combine like terms: 0 + -1 = -1
-5p = -1

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2
Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {0.2, 5}